Towards a field theory of the fractional quantum Hall states

Details Towards a field theory of the fractional quantum Hall states Towards a field theory of the fractional quantum Hall states

1997-02-11

arxiv.org/abs/cond-mat/9702098v2

Phys. Rev. Lett. 79 (1997) 4437

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Published version

Scientific paper

10.1103/PhysRevLett.79.4437

We present a Chern-Simons theory of the fractional quantum Hall effect in which flux attachment is followed by a transformation that effectively attaches the correlation holes. We extract the correlated wavefunctions, compute the drift and cyclotron currents (due to inhomogeneous density), exhibit the Read operator, and operators that create quasi-particles and holes. We show how the bare kinetic energy can get quenched and replaced by one due to interactions. We find that for $\nu =1/2$ the low energy theory has neutral quasiparticles and give the effective hamiltonian and constraints.

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